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Geometric models for higher Grothendieck–Witt groups in A1-homotopy theory
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Schlichting, Marco and Tripathi, Girja S. (2015) Geometric models for higher Grothendieck–Witt groups in A1-homotopy theory. Mathematische Annalen, 362 (3-4). pp. 1143-1167. doi:10.1007/s00208-014-1154-z ISSN 0025-5831.
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Official URL: http://dx.doi.org/10.1007/s00208-014-1154-z
Abstract
We show that the higher Grothendieck-Witt groups, a.k.a. algebraic hermitian K-groups, are represented by an infinite orthogonal Grassmannian in the A1-homotopy category of smooth schemes over a regular base for which 2 is a unit in the ring of regular functions. We also give geometric models for various P1- and S1-loop spaces of hermitian K-theory.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Algebraic topology, Homotopy theory, K-theory, Hermitian K-theory | ||||||
Journal or Publication Title: | Mathematische Annalen | ||||||
Publisher: | Springer Verlag | ||||||
ISSN: | 0025-5831 | ||||||
Official Date: | August 2015 | ||||||
Dates: |
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Volume: | 362 | ||||||
Number: | 3-4 | ||||||
Page Range: | pp. 1143-1167 | ||||||
DOI: | 10.1007/s00208-014-1154-z | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 5 September 2017 | ||||||
Date of first compliant Open Access: | 5 September 2017 | ||||||
Funder: | National Science Foundation (U.S.) (NSF) | ||||||
Grant number: | DMS 0906290 |
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